Atkin-Lehner |
2- 3+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864n |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-9820159749335808 = -1 · 28 · 32 · 315 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41787,-3466791] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1922:1] |
Generators of the group modulo torsion |
j |
31520778346496000/38359999020843 |
j-invariant |
L |
3.5864626617541 |
L(r)(E,1)/r! |
Ω |
0.21891036574253 |
Real period |
R |
0.81916236535405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19716d1 |
Quadratic twists by: -4 |